You can try here. In French, indeed, but scroll down to Contactez-nous, you'll get to a dialogue box where you can place your question in English. Maybe not appropriate to you, it's by appointment, for groups of 10 or more.
So try this. you land on a site with fr en de option (top right), but no matter what, it will be in French... (terrible, I know, but you may find out that the web sites of wineries in Pennsylvania are in the local language too...). They claim they hold visits any time except on Sunday, in French or English or German, for individuals or groups. A bit pricey, CHF 185 per person for two hours excluding winetasting.... You may contact the guide, Mr Baumann: <removed>
Well, checking again, there is this page in English, but the information there is not comprehensive.
I have visited only one winery in Lavaux, at the personnal invitation of the owner, who holds an open house twice a year and expects visitors to buy boxes of bottles (which we gladly do, the wine is excellent!).
Labor is expensive in Switzerland, and the number of tourists who might show up is small, which is why they have settled to have the Vinorama which you know, it centralizes the visits.
The best opportunity for you would be the Open Cellar Days. The only constraint is the date, in 2019 that would be June 8 and June 9. The passport costs CHF 50 per person. The "passport" is in fact a wine glass which you will use for wine tasting and as a ticket for the free shuttle bus. You can visit as many wineries as you can... Not only in Lavaux, but in the entire Canton Vaud.
So much on what I know, but I am not aware of all opportunities. Good luck.